{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 270,
   "metadata": {},
   "outputs": [],
   "source": [
    "#*********************@Author: Aniruddh Khera*********************\n",
    "# About the data: S&P500 companies stock prices from 2010-2016\n",
    "# Here I analyzed for GOOGLE, we can do it for other\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sb  \n",
    "import numpy as np\n",
    "import pymc3 as pm\n",
    "from pymc3.distributions.timeseries import *\n",
    "import theano\n",
    "floatX = theano.config.floatX\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "df = pd.read_csv(\"nyse/prices-split-adjusted.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 271,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12309cf98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#**********************EXPLORATORY ANALYSIS**********************\n",
    "#select google\n",
    "goog = df[df.symbol == 'GOOG']\n",
    "goog.date = goog.date.convert_objects(convert_dates='coerce')\n",
    "goog = goog.sort_index(by=\"date\")\n",
    "goog = goog.set_index(\"date\")\n",
    "fig, ax = plt.subplots(figsize=(8, 5))\n",
    "ax.plot(goog['close'], label='Google')\n",
    "ax.set(xlabel='time', ylabel='Close')\n",
    "ax.legend();\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 272,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Split data into training & testing\n",
    "goog_train = goog[goog.index<'2016-12-14']\n",
    "goog_test = goog[goog.index>='2016-12-14']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 273,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Take log to make variance constant\n",
    "goog_train['Log close'] = goog_train['close'].apply(lambda x: np.log(x))  \n",
    "goog_train['Log open'] = goog_train['open'].apply(lambda x: np.log(x))  \n",
    "goog_train['Log low'] = goog_train['low'].apply(lambda x: np.log(x))  \n",
    "goog_train['Log high'] = goog_train['high'].apply(lambda x: np.log(x)) \n",
    "goog_test['Log close'] = goog_test['close'].apply(lambda x: np.log(x))  \n",
    "goog_test['Log open'] = goog_test['open'].apply(lambda x: np.log(x))  \n",
    "goog_test['Log low'] = goog_test['low'].apply(lambda x: np.log(x))  \n",
    "goog_test['Log high'] = goog_test['high'].apply(lambda x: np.log(x))  \n",
    "scaler = MinMaxScaler()\n",
    "scaled_values = scaler.fit_transform(goog_train[['Log close','Log open','Log low','Log high']]) \n",
    "goog_train[['Log close','Log open','Log low','Log high']]= scaled_values\n",
    "\n",
    "scaled_values = scaler.fit_transform(goog_test[['Log close','Log open','Log low','Log high']]) \n",
    "goog_test[['Log close','Log open','Log low','Log high']]= scaled_values\n",
    "scaled_value = scaler.fit_transform(goog_test[['close']])\n",
    "\n",
    "#goog_train['Original Variance'] = pd.rolling_var(goog_train['close'], 30, min_periods=None, freq=None, center=True)  \n",
    "#goog_train['Log Variance'] = pd.rolling_var(goog_train['close'], 30, min_periods=None, freq=None, center=True)\n",
    "\n",
    "#fig, ax = plt.subplots(2, 1, figsize=(10, 5))  \n",
    "#goog_train['Original Variance'].plot(ax=ax[0], title='Original Variance')  \n",
    "#goog_train['Log Variance'].plot(ax=ax[1], title='Log Variance')  \n",
    "#fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 274,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "# Auto-regression\n",
    "# We could use the AR API (not sure as they mentioned about innovation) to make our TS stationary but I prefered to build it myself as it's easier to understand &\n",
    "# we already calculated the lagged/differenced for the ARIMA model\n",
    "\n",
    "goog_train['lag2 close'] = goog_train['Log close'].shift(2) \n",
    "\n",
    "# cross-correlations (higest with respective lags)\n",
    "goog_train['Log close'].corr(goog_train['Log open'].shift())\n",
    "goog_train['Log close'].corr(goog_train['Log high'].shift())\n",
    "goog_train['Log close'].corr(goog_train['Log low'].shift())\n",
    "\n",
    "goog_train['lag open'] = goog_train['Log open'].shift()\n",
    "goog_train['lag high'] = goog_train['Log high'].shift()\n",
    "goog_train['lag low'] = goog_train['Log low'].shift()\n",
    "\n",
    "df_touse = goog_train[['lag2 close','lag open', 'lag high', 'lag low', 'Log close']].iloc[2:]\n",
    "trainX = df_touse[['lag2 close','lag open', 'lag high', 'lag low']]\n",
    "trainY = df_touse[['Log close']]\n",
    "\n",
    "\n",
    "\n",
    "#test construction\n",
    "\n",
    "goog_test['lag2 close'] = goog_test['Log close'].shift(2) \n",
    "goog_test['lag open'] = goog_test['Log open'].shift()\n",
    "goog_test['lag high'] = goog_test['Log high'].shift()\n",
    "goog_test['lag low'] = goog_test['Log low'].shift()\n",
    "first = goog_train.loc[goog_train.index == '2016-12-12']['Log close']\n",
    "goog_test.ix['2016-12-14','lag2 close'] = first.iloc[0]\n",
    "second = goog_train.loc[goog_train.index == '2016-12-13']['Log close']\n",
    "goog_test.ix['2016-12-15','lag2 close'] = second.iloc[0]\n",
    "\n",
    "first = goog_train.loc[goog_train.index == '2016-12-13']['Log open']\n",
    "goog_test.ix['2016-12-14','lag open'] = first.iloc[0]\n",
    "first = goog_train.loc[goog_train.index == '2016-12-13']['Log low']\n",
    "goog_test.ix['2016-12-14','lag low'] = first.iloc[0]\n",
    "first = goog_train.loc[goog_train.index == '2016-12-13']['Log high']\n",
    "goog_test.ix['2016-12-14','lag high'] = first.iloc[0]\n",
    "\n",
    "testX = goog_test[['lag2 close','lag open', 'lag high', 'lag low']]\n",
    "testY = goog_test[['Log close']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 275,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Reference: http://twiecki.github.io/blog/2017/03/14/random-walk-deep-net/ (Not used)\n",
    "# Instead assumed the data represented by normal distribution\n",
    "# Input: log open, log close, log high, log low (with lags)\n",
    "# Output: Daily rolling based predictions\n",
    "def construct_nn(ann_input, ann_output):   \n",
    "    n_hidden =  5\n",
    "    n_features = ann_input.get_value().shape[1]\n",
    "    # Initialize random weights between each layer\n",
    "    init_1 = np.random.randn(1, n_hidden).astype(floatX)\n",
    "    init_2 = np.random.randn(n_hidden, n_hidden).astype(floatX)\n",
    "    init_out = np.random.randn(n_hidden,1).astype(floatX)   \n",
    "    with pm.Model() as neural_network:\n",
    "        \n",
    "        weights_1 = pm.Normal('w_1', mu=0, shape=(n_features, n_hidden), testval=init_1)\n",
    "        weights_2 = pm.Normal('w_2', mu=0, shape=(n_hidden, n_hidden), testval=init_2)\n",
    "        weights_3 = pm.Normal('w_3', mu=0, shape=(n_hidden,1), testval=init_out)\n",
    "        \n",
    "        #Activations\n",
    "        act_1 = pm.math.tanh(pm.math.dot(ann_input, weights_1))\n",
    "        act_2 = pm.math.tanh(pm.math.dot(act_1, weights_2))\n",
    "        act_3 = pm.math.sigmoid(pm.math.dot(act_2, weights_3))\n",
    "        out = pm.Normal('out',act_3, observed=ann_output)\n",
    "    return neural_network\n",
    "\n",
    "ann_input = theano.shared(np.array(trainX))\n",
    "ann_output = theano.shared(np.array(trainY))\n",
    "neural_network = construct_nn(ann_input, ann_output)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 276,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "100%|██████████| 2500/2500 [04:29<00:00,  9.29it/s]\n"
     ]
    }
   ],
   "source": [
    "with neural_network:\n",
    "    trace = pm.sample(2000, tune=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 277,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1232b8898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with neural_network:\n",
    "    pm.traceplot(trace)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 278,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 500/500 [00:00<00:00, 1434.13it/s]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1229bcf60>"
      ]
     },
     "execution_count": 278,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d3d72e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with neural_network:\n",
    "    ppc = pm.sample_ppc(trace,500)\n",
    "plt.figure()\n",
    "sb.distplot(ppc['out'].mean(axis=0), label='Posterior predictive means')\n",
    "sb.distplot(trainY, label='Observed')\n",
    "plt.legend()\n",
    "ax.legend()    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 279,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$None \\sim \\text{Normal}(\\mathit{mu}=f(f(f(f(f(f(array,w\\_1)),w\\_2)),w\\_3)), \\mathit{sd}=1.0)$"
      ],
      "text/plain": [
       "<pymc3.distributions.continuous.Normal at 0x1225d3ba8>"
      ]
     },
     "execution_count": 279,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "neural_network.out.distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 280,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x122c3d470>]"
      ]
     },
     "execution_count": 280,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1229f5278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(map_est['w_1'])\n",
    "plt.plot(map_est['w_2'])\n",
    "plt.plot(map_est['w_3'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 281,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 500/500 [00:00<00:00, 3333.40it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1202b1588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Lets predict\n",
    "ann_input.set_value(testX)\n",
    "with neural_network:\n",
    "    ppc = pm.sample_ppc(trace, samples=500)\n",
    "    pred = ppc['out'].mean(axis=0)\n",
    "    prob = ppc['out'].std(axis=0)\n",
    "    sb.distplot(ppc['out'].mean(axis=0), label='Posterior predictive means')\n",
    "    sb.distplot(testY, label='Observed')\n",
    "    plt.legend()    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 282,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "# Uncomment when required - Convert into actual scale\n",
    "true = np.array(testY['Log close']).reshape(-1,1) \n",
    "true = scaler.inverse_transform(true)\n",
    "pred = scaler.inverse_transform(pred)\n",
    "true = true.flatten()\n",
    "pred= pred.flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 283,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'FORECAST RMSE: 5.0323')"
      ]
     },
     "execution_count": 283,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11caa5128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 5))\n",
    "ax.plot(goog_test['close'])\n",
    "ax.errorbar(goog_test.index,pred,prob)\n",
    "plt.title('FORECAST RMSE: %.4f'% np.sqrt(sum((pred-goog_test['close'])**2)/len(pred)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
